72630096 has 160 divisors (see below), whose sum is σ = 239889408. Its totient is φ = 18385920.

The previous prime is 72630091. The next prime is 72630101. The reversal of 72630096 is 69003627.

It is an interprime number because it is at equal distance from previous prime (72630091) and next prime (72630101).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72630091) 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, 158700 + ... + 159156.

Almost surely, 2^72630096 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 72630096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119944704).

72630096 is an abundant number, since it is smaller than the sum of its proper divisors (167259312).

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

72630096 is a wasteful number, since it uses less digits than its factorization.

72630096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 33.

The square root of 72630096 is about 8522.3292590700. The cubic root of 72630096 is about 417.2268087384.

The spelling of 72630096 in words is "seventy-two million, six hundred thirty thousand, ninety-six".