72407365100 has 144 divisors (see below), whose sum is σ = 185022532800. Its totient is φ = 24082206720.

The previous prime is 72407365087. The next prime is 72407365103. The reversal of 72407365100 is 156370427.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (72407365103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3290936 + ... + 3312864.

It is an arithmetic number, because the mean of its divisors is an integer number (1284878700).

Almost surely, 2^72407365100 is an apocalyptic number.

72407365100 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 72407365100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92511266400).

72407365100 is an abundant number, since it is smaller than the sum of its proper divisors (112615167700).

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

72407365100 is a wasteful number, since it uses less digits than its factorization.

72407365100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22092 (or 22085 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 35.

The spelling of 72407365100 in words is "seventy-two billion, four hundred seven million, three hundred sixty-five thousand, one hundred".