72416372771610 has 64 divisors (see below), whose sum is σ = 220697517024000. Its totient is φ = 16552313775936.

The previous prime is 72416372771563. The next prime is 72416372771629. The reversal of 72416372771610 is 1617727361427.

72416372771610 is a `hidden beast` number, since 7 + 2 + 4 + 16 + 3 + 7 + 2 + 7 + 7 + 1 + 610 = 666.

72416372771610 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19157768685 + ... + 19157772464.

It is an arithmetic number, because the mean of its divisors is an integer number (3448398703500).

Almost surely, 2^{72416372771610} is an apocalyptic number.

72416372771610 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

72416372771610 is an abundant number, since it is smaller than the sum of its proper divisors (148281144252390).

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

72416372771610 is a wasteful number, since it uses less digits than its factorization.

72416372771610 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38315541172 (or 38315541166 counting only the distinct ones).

The product of its (nonzero) digits is 4148928, while the sum is 54.

The spelling of 72416372771610 in words is "seventy-two trillion, four hundred sixteen billion, three hundred seventy-two million, seven hundred seventy-one thousand, six hundred ten".