72477573120 has 240 divisors, whose sum is σ = 257698037520. Its totient is φ = 19327352832.

The previous prime is 72477573107. The next prime is 72477573139. The reversal of 72477573120 is 2137577427.

It is a Jordan-Polya number, since it can be written as 6! ⋅ 4! ⋅ (2!)²².

72477573120 is a `hidden beast` number, since 7 + 2 + 4 + 77 + 573 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 7 ways as a sum of consecutive naturals, for example, 14495514622 + ... + 14495514626.

It is an arithmetic number, because the mean of its divisors is an integer number (1073741823).

Almost surely, 2^72477573120 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 72477573120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128849018760).

72477573120 is an abundant number, since it is smaller than the sum of its proper divisors (185220464400).

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

72477573120 is an frugal number, since it uses more digits than its factorization.

72477573120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 576240, while the sum is 45.

The spelling of 72477573120 in words is "seventy-two billion, four hundred seventy-seven million, five hundred seventy-three thousand, one hundred twenty".