74626272 has 168 divisors, whose sum is σ = 252299376. Its totient is φ = 21275136.

The previous prime is 74626261. The next prime is 74626289. The reversal of 74626272 is 27262647.

74626272 is a `hidden beast` number, since 7 + 4 + 626 + 27 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

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 a zygodrome in base 6.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 163068 + ... + 163524.

It is an arithmetic number, because the mean of its divisors is an integer number (1501782).

Almost surely, 2^74626272 is an apocalyptic number.

74626272 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 74626272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126149688).

74626272 is an abundant number, since it is smaller than the sum of its proper divisors (177673104).

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

74626272 is an equidigital number, since it uses as much as digits as its factorization.

74626272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 469 counting only the distinct ones).

The product of its digits is 56448, while the sum is 36.

The square root of 74626272 is about 8638.6498945148. The cubic root of 74626272 is about 421.0146894670.

The spelling of 74626272 in words is "seventy-four million, six hundred twenty-six thousand, two hundred seventy-two".