72633414 has 32 divisors (see below), whose sum is σ = 166323456. Its totient is φ = 20714400.

The previous prime is 72633391. The next prime is 72633439. The reversal of 72633414 is 41433627.

It is a super-2 number, since 2×72633414² = 10551225658590792, 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 15 ways as a sum of consecutive naturals, for example, 28209 + ... + 30675.

It is an arithmetic number, because the mean of its divisors is an integer number (5197608).

Almost surely, 2^72633414 is an apocalyptic number.

72633414 is an abundant number, since it is smaller than the sum of its proper divisors (93690042).

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

72633414 is a wasteful number, since it uses less digits than its factorization.

72633414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3180.

The product of its digits is 12096, while the sum is 30.

The square root of 72633414 is about 8522.5239219377. The cubic root of 72633414 is about 417.2331621077.

The spelling of 72633414 in words is "seventy-two million, six hundred thirty-three thousand, four hundred fourteen".