72513630 has 224 divisors, whose sum is σ = 236088000. Its totient is φ = 16003008.

The previous prime is 72513629. The next prime is 72513643. The reversal of 72513630 is 3631527.

It is a happy number.

72513630 is a `hidden beast` number, since 7 + 25 + 1 + 3 + 630 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 72513594 and 72513603.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2500456 + ... + 2500484.

Almost surely, 2^72513630 is an apocalyptic number.

72513630 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 72513630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118044000).

72513630 is an abundant number, since it is smaller than the sum of its proper divisors (163574370).

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

72513630 is an equidigital number, since it uses as much as digits as its factorization.

72513630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 72513630 is about 8515.4935265080. The cubic root of 72513630 is about 417.0036747257.

The spelling of 72513630 in words is "seventy-two million, five hundred thirteen thousand, six hundred thirty".