72598032 has 200 divisors, whose sum is σ = 235262720. Its totient is φ = 21461760.

The previous prime is 72598027. The next prime is 72598037. The reversal of 72598032 is 23089527.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (72598027) and next prime (72598037).

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

It is not an unprimeable number, because it can be changed into a prime (72598037) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 522219 + ... + 522357.

Almost surely, 2^72598032 is an apocalyptic number.

72598032 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 72598032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117631360).

72598032 is an abundant number, since it is smaller than the sum of its proper divisors (162664688).

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

72598032 is a wasteful number, since it uses less digits than its factorization.

72598032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 72598032 is about 8520.4478755521. The cubic root of 72598032 is about 417.1654020109.

The spelling of 72598032 in words is "seventy-two million, five hundred ninety-eight thousand, thirty-two".