74747232 has 192 divisors, whose sum is σ = 264176640. Its totient is φ = 20072448.

The previous prime is 74747221. The next prime is 74747243. The reversal of 74747232 is 23274747.

74747232 = 13³ + 14³ + ... + 131³.

It is an interprime number because it is at equal distance from previous prime (74747221) and next prime (74747243).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102453 + ... + 103179.

It is an arithmetic number, because the mean of its divisors is an integer number (1375920).

Almost surely, 2^74747232 is an apocalyptic number.

74747232 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74747232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132088320).

74747232 is an abundant number, since it is smaller than the sum of its proper divisors (189429408).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

74747232 is a wasteful number, since it uses less digits than its factorization.

74747232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 756 counting only the distinct ones).

The product of its digits is 65856, while the sum is 36.

The square root of 74747232 is about 8645.6481538402. The cubic root of 74747232 is about 421.2420376709.

It can be divided in two parts, 7474 and 7232, that added together give a triangular number (14706 = T₁₇₁).

The spelling of 74747232 in words is "seventy-four million, seven hundred forty-seven thousand, two hundred thirty-two".