72979456 has 132 divisors (see below), whose sum is σ = 174240640. Its totient is φ = 30412800.

The previous prime is 72979451. The next prime is 72979477. The reversal of 72979456 is 65497927.

Its product of digits (952560) is a multiple of the sum of its prime divisors (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72979451) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2354161 + ... + 2354191.

Almost surely, 2^72979456 is an apocalyptic number.

72979456 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72979456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87120320).

72979456 is an abundant number, since it is smaller than the sum of its proper divisors (101261184).

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

72979456 is a wasteful number, since it uses less digits than its factorization.

72979456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 63 counting only the distinct ones).

The product of its digits is 952560, while the sum is 49.

The square root of 72979456 is about 8542.8014140562. The cubic root of 72979456 is about 417.8947103230.

The spelling of 72979456 in words is "seventy-two million, nine hundred seventy-nine thousand, four hundred fifty-six".