72502668 has 96 divisors (see below), whose sum is σ = 222297600. Its totient is φ = 19994688.

The previous prime is 72502657. The next prime is 72502669. The reversal of 72502668 is 86620527.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (72502669) 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 31 ways as a sum of consecutive naturals, for example, 20271 + ... + 23577.

It is an arithmetic number, because the mean of its divisors is an integer number (2315600).

Almost surely, 2^72502668 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72502668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111148800).

72502668 is an abundant number, since it is smaller than the sum of its proper divisors (149794932).

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

72502668 is a wasteful number, since it uses less digits than its factorization.

72502668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3356 (or 3348 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 72502668 is about 8514.8498518764. The cubic root of 72502668 is about 416.9826606319.

The spelling of 72502668 in words is "seventy-two million, five hundred two thousand, six hundred sixty-eight".