73621152 has 144 divisors (see below), whose sum is σ = 242004672. Its totient is φ = 20981760.

The previous prime is 73621151. The next prime is 73621153. The reversal of 73621152 is 25112637.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (73621151) and next prime (73621153).

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (73621151) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53173 + ... + 54539.

It is an arithmetic number, because the mean of its divisors is an integer number (1680588).

Almost surely, 2^73621152 is an apocalyptic number.

73621152 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 73621152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121002336).

73621152 is an abundant number, since it is smaller than the sum of its proper divisors (168383520).

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

73621152 is a wasteful number, since it uses less digits than its factorization.

73621152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1411 (or 1400 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 73621152 is about 8580.2769186082. The cubic root of 73621152 is about 419.1159636723.

Adding to 73621152 its reverse (25112637), we get a palindrome (98733789).

The spelling of 73621152 in words is "seventy-three million, six hundred twenty-one thousand, one hundred fifty-two".