72058100 has 36 divisors (see below), whose sum is σ = 156802464. Its totient is φ = 28742880.

The previous prime is 72058093. The next prime is 72058109. The reversal of 72058100 is 185027.

It is a super-2 number, since 2×72058100² = 10384739551220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72058109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45929 + ... + 47471.

It is an arithmetic number, because the mean of its divisors is an integer number (4355624).

Almost surely, 2^72058100 is an apocalyptic number.

It is an amenable number.

72058100 is an abundant number, since it is smaller than the sum of its proper divisors (84744364).

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

72058100 is a wasteful number, since it uses less digits than its factorization.

72058100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2024 (or 2017 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 23.

The square root of 72058100 is about 8488.7042591906. The cubic root of 72058100 is about 416.1286353303.

The spelling of 72058100 in words is "seventy-two million, fifty-eight thousand, one hundred".