72879492 has 96 divisors (see below), whose sum is σ = 202245120. Its totient is φ = 19992960.

The previous prime is 72879491. The next prime is 72879503. The reversal of 72879492 is 29497827.

It is a super-2 number, since 2×72879492² = 10622840708356128, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (72879491) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 407059 + ... + 407237.

It is an arithmetic number, because the mean of its divisors is an integer number (2106720).

Almost surely, 2^72879492 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 72879492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101122560).

72879492 is an abundant number, since it is smaller than the sum of its proper divisors (129365628).

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

72879492 is a wasteful number, since it uses less digits than its factorization.

72879492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 359 counting only the distinct ones).

The product of its digits is 508032, while the sum is 48.

The square root of 72879492 is about 8536.9486351975. The cubic root of 72879492 is about 417.7038186336.

The spelling of 72879492 in words is "seventy-two million, eight hundred seventy-nine thousand, four hundred ninety-two".