72700992 has 336 divisors, whose sum is σ = 273669760. Its totient is φ = 17915904.

The previous prime is 72700987. The next prime is 72701009. The reversal of 72700992 is 29900727.

It is a tau number, because it is divible by the number of its divisors (336).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 995868 + ... + 995940.

Almost surely, 2^72700992 is an apocalyptic number.

72700992 is a gapful number since it is divisible by the number (72) 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 72700992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136834880).

72700992 is an abundant number, since it is smaller than the sum of its proper divisors (200968768).

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

72700992 is a wasteful number, since it uses less digits than its factorization.

72700992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 72700992 is about 8526.4876707821. The cubic root of 72700992 is about 417.3625196635.

The spelling of 72700992 in words is "seventy-two million, seven hundred thousand, nine hundred ninety-two".