72472392 has 96 divisors (see below), whose sum is σ = 206739000. Its totient is φ = 22901760.

The previous prime is 72472391. The next prime is 72472399. The reversal of 72472392 is 29327427.

It can be written as a sum of positive squares in 4 ways, for example, as 30404196 + 42068196 = 5514^2 + 6486^2 .

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

It is not an unprimeable number, because it can be changed into a prime (72472391) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 127084 + ... + 127652.

Almost surely, 2^72472392 is an apocalyptic number.

72472392 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 72472392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103369500).

72472392 is an abundant number, since it is smaller than the sum of its proper divisors (134266608).

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

72472392 is a wasteful number, since it uses less digits than its factorization.

72472392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671 (or 664 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The square root of 72472392 is about 8513.0718310138. The cubic root of 72472392 is about 416.9246107005.

It can be divided in two parts, 72 and 472392, that multiplied together give a 6-th power (34012224 = 18⁶).

The spelling of 72472392 in words is "seventy-two million, four hundred seventy-two thousand, three hundred ninety-two".