72345508193904 has 80 divisors (see below), whose sum is σ = 208624256252544. Its totient is φ = 21413046816000.

The previous prime is 72345508193899. The next prime is 72345508193941. The reversal of 72345508193904 is 40939180554327.

It is a super-2 number, since 2×72345508193904² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1593209947 + ... + 1593255354.

Almost surely, 2^{72345508193904} is an apocalyptic number.

It is an amenable number.

72345508193904 is an abundant number, since it is smaller than the sum of its proper divisors (136278748058640).

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

72345508193904 is a wasteful number, since it uses less digits than its factorization.

72345508193904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3186465366 (or 3186465360 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 60.

The spelling of 72345508193904 in words is "seventy-two trillion, three hundred forty-five billion, five hundred eight million, one hundred ninety-three thousand, nine hundred four".