72909954 has 144 divisors (see below), whose sum is σ = 193240320. Its totient is φ = 19673280.

The previous prime is 72909929. The next prime is 72909961. The reversal of 72909954 is 45990927.

It is a super-2 number, since 2×72909954² = 10631722784564232, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2351919 + ... + 2351949.

Almost surely, 2^72909954 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72909954, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96620160).

72909954 is an abundant number, since it is smaller than the sum of its proper divisors (120330366).

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

72909954 is a wasteful number, since it uses less digits than its factorization.

72909954 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 72909954 is about 8538.7325757398. The cubic root of 72909954 is about 417.7620074830.

The spelling of 72909954 in words is "seventy-two million, nine hundred nine thousand, nine hundred fifty-four".