72307537920 has 192 divisors, whose sum is σ = 257031684000. Its totient is φ = 19281936384.

The previous prime is 72307537889. The next prime is 72307537949. The reversal of 72307537920 is 2973570327.

72307537920 is a `hidden beast` number, since 7 + 23 + 0 + 7 + 537 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145716 + ... + 407244.

Almost surely, 2^72307537920 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 72307537920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128515842000).

72307537920 is an abundant number, since it is smaller than the sum of its proper divisors (184724146080).

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

72307537920 is a wasteful number, since it uses less digits than its factorization.

72307537920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261565 (or 261539 counting only the distinct ones).

The product of its (nonzero) digits is 555660, while the sum is 45.

The spelling of 72307537920 in words is "seventy-two billion, three hundred seven million, five hundred thirty-seven thousand, nine hundred twenty".