72662536 has 32 divisors (see below), whose sum is σ = 145454400. Its totient is φ = 33929280.

The previous prime is 72662533. The next prime is 72662567. The reversal of 72662536 is 63526627.

It is a junction number, because it is equal to n+sod(n) for n = 72662495 and 72662504.

It is not an unprimeable number, because it can be changed into a prime (72662533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7426 + ... + 14158.

It is an arithmetic number, because the mean of its divisors is an integer number (4545450).

Almost surely, 2^72662536 is an apocalyptic number.

72662536 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

72662536 is an abundant number, since it is smaller than the sum of its proper divisors (72791864).

72662536 is a wasteful number, since it uses less digits than its factorization.

72662536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6829 (or 6825 counting only the distinct ones).

The product of its digits is 90720, while the sum is 37.

The square root of 72662536 is about 8524.2322821472. The cubic root of 72662536 is about 417.2889171655.

The spelling of 72662536 in words is "seventy-two million, six hundred sixty-two thousand, five hundred thirty-six".