72928830 has 64 divisors (see below), whose sum is σ = 191374848. Its totient is φ = 17677440.

The previous prime is 72928789. The next prime is 72928847. The reversal of 72928830 is 3882927.

It is a super-2 number, since 2×72928830² = 10637228490337800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24735 + ... + 27525.

It is an arithmetic number, because the mean of its divisors is an integer number (2990232).

Almost surely, 2^72928830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72928830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95687424).

72928830 is an abundant number, since it is smaller than the sum of its proper divisors (118446018).

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

72928830 is a wasteful number, since it uses less digits than its factorization.

72928830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2881.

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 72928830 is about 8539.8378204741. The cubic root of 72928830 is about 417.7980564941.

The spelling of 72928830 in words is "seventy-two million, nine hundred twenty-eight thousand, eight hundred thirty".