72361032 has 32 divisors (see below), whose sum is σ = 187142400. Its totient is φ = 23288384.

The previous prime is 72361007. The next prime is 72361043. The reversal of 72361032 is 23016327.

It is a super-2 number, since 2×72361032² = 10472237904210048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a junction number, because it is equal to n+sod(n) for n = 72360993 and 72361011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51288 + ... + 52679.

It is an arithmetic number, because the mean of its divisors is an integer number (5848200).

Almost surely, 2^72361032 is an apocalyptic number.

It is an amenable number.

72361032 is an abundant number, since it is smaller than the sum of its proper divisors (114781368).

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

72361032 is a wasteful number, since it uses less digits than its factorization.

72361032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104005 (or 104001 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 24.

The square root of 72361032 is about 8506.5287867614. The cubic root of 72361032 is about 416.7109545102.

Adding to 72361032 its reverse (23016327), we get a palindrome (95377359).

The spelling of 72361032 in words is "seventy-two million, three hundred sixty-one thousand, thirty-two".