72402914745 has 640 divisors, whose sum is σ = 176637542400. Its totient is φ = 28165294080.

The previous prime is 72402914729. The next prime is 72402914761. The reversal of 72402914745 is 54741920427.

It is an interprime number because it is at equal distance from previous prime (72402914729) and next prime (72402914761).

It is not a de Polignac number, because 72402914745 - 2⁴ = 72402914729 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 72402914745.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 1683788694 + ... + 1683788736.

It is an arithmetic number, because the mean of its divisors is an integer number (275996160).

Almost surely, 2^72402914745 is an apocalyptic number.

It is an amenable number.

72402914745 is an abundant number, since it is smaller than the sum of its proper divisors (104234627655).

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

72402914745 is a wasteful number, since it uses less digits than its factorization.

72402914745 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 72402914745 in words is "seventy-two billion, four hundred two million, nine hundred fourteen thousand, seven hundred forty-five".