72929880 has 96 divisors (see below), whose sum is σ = 238595760. Its totient is φ = 19319040.

The previous prime is 72929863. The next prime is 72929903. The reversal of 72929880 is 8892927.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 61695 + ... + 62865.

Almost surely, 2^72929880 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 72929880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119297880).

72929880 is an abundant number, since it is smaller than the sum of its proper divisors (165665880).

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

72929880 is a wasteful number, since it uses less digits than its factorization.

72929880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1361 (or 1354 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 72929880 is about 8539.8992968301. The cubic root of 72929880 is about 417.8000615807.

The spelling of 72929880 in words is "seventy-two million, nine hundred twenty-nine thousand, eight hundred eighty".