72797088 has 144 divisors (see below), whose sum is σ = 236851776. Its totient is φ = 19169280.

The previous prime is 72797057. The next prime is 72797107. The reversal of 72797088 is 88079727.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113248 + ... + 113888.

It is an arithmetic number, because the mean of its divisors is an integer number (1644804).

Almost surely, 2^72797088 is an apocalyptic number.

72797088 is a gapful number since it is divisible by the number (78) 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 72797088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118425888).

72797088 is an abundant number, since it is smaller than the sum of its proper divisors (164054688).

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

72797088 is a wasteful number, since it uses less digits than its factorization.

72797088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 48.

The square root of 72797088 is about 8532.1209555421. The cubic root of 72797088 is about 417.5463282998.

The spelling of 72797088 in words is "seventy-two million, seven hundred ninety-seven thousand, eighty-eight".