72633960 has 384 divisors, whose sum is σ = 298771200. Its totient is φ = 14929920.

The previous prime is 72633959. The next prime is 72633973. The reversal of 72633960 is 6933627.

72633960 is a `hidden beast` number, since 7 + 263 + 396 + 0 = 666.

72633960 is nontrivially palindromic in base 11.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1771540 + ... + 1771580.

It is an arithmetic number, because the mean of its divisors is an integer number (778050).

Almost surely, 2^72633960 is an apocalyptic number.

72633960 is a gapful number since it is divisible by the number (70) 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 72633960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149385600).

72633960 is an abundant number, since it is smaller than the sum of its proper divisors (226137240).

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

72633960 is a wasteful number, since it uses less digits than its factorization.

72633960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 72633960 is about 8522.5559546418. Note that the first 3 decimals coincide. The cubic root of 72633960 is about 417.2342075803.

The spelling of 72633960 in words is "seventy-two million, six hundred thirty-three thousand, nine hundred sixty".