72081975 has 96 divisors (see below), whose sum is σ = 145260544. Its totient is φ = 30844800.

The previous prime is 72081967. The next prime is 72082009. The reversal of 72081975 is 57918027.

It is not a de Polignac number, because 72081975 - 2³ = 72081967 is a prime.

It is a super-2 number, since 2×72081975² = 10391622239801250, which 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 95 ways as a sum of consecutive naturals, for example, 699774 + ... + 699876.

Almost surely, 2^72081975 is an apocalyptic number.

72081975 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

72081975 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

72081975 is a wasteful number, since it uses less digits than its factorization.

72081975 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 39.

The square root of 72081975 is about 8490.1104233102. The cubic root of 72081975 is about 416.1745888692.

The spelling of 72081975 in words is "seventy-two million, eighty-one thousand, nine hundred seventy-five".