72546001920 has 704 divisors, whose sum is σ = 299720102400. Its totient is φ = 16296837120.

The previous prime is 72546001903. The next prime is 72546001991. The reversal of 72546001920 is 2910064527.

72546001920 is a `hidden beast` number, since 7 + 2 + 5 + 460 + 0 + 192 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 59027866 + ... + 59029094.

Almost surely, 2^72546001920 is an apocalyptic number.

72546001920 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 72546001920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149860051200).

72546001920 is an abundant number, since it is smaller than the sum of its proper divisors (227174100480).

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

72546001920 is a wasteful number, since it uses less digits than its factorization.

72546001920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1331 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 72546001920 in words is "seventy-two billion, five hundred forty-six million, one thousand, nine hundred twenty".