72683520 has 312 divisors, whose sum is σ = 287798976. Its totient is φ = 15335424.

The previous prime is 72683509. The next prime is 72683537. The reversal of 72683520 is 2538627.

It is a tau number, because it is divible by the number of its divisors (312).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5591034 + ... + 5591046.

Almost surely, 2^72683520 is an apocalyptic number.

72683520 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 72683520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143899488).

72683520 is an abundant number, since it is smaller than the sum of its proper divisors (215115456).

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

72683520 is a wasteful number, since it uses less digits than its factorization.

72683520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 72683520 is about 8525.4630372784. The cubic root of 72683520 is about 417.3290825123.

The spelling of 72683520 in words is "seventy-two million, six hundred eighty-three thousand, five hundred twenty".