72395712 has 42 divisors (see below), whose sum is σ = 207510888. Its totient is φ = 24131712.

The previous prime is 72395699. The next prime is 72395731. The reversal of 72395712 is 21759327.

It is a super-2 number, since 2×72395712² = 10482278231973888, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 62268 + ... + 63419.

Almost surely, 2^72395712 is an apocalyptic number.

72395712 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

72395712 is an abundant number, since it is smaller than the sum of its proper divisors (135115176).

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

72395712 is a wasteful number, since it uses less digits than its factorization.

72395712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125705 (or 125692 counting only the distinct ones).

The product of its digits is 26460, while the sum is 36.

The square root of 72395712 is about 8508.5669768769. The cubic root of 72395712 is about 416.7775153253. Note that the first 3 decimals are identical.

The spelling of 72395712 in words is "seventy-two million, three hundred ninety-five thousand, seven hundred twelve".