72101406 has 32 divisors (see below), whose sum is σ = 155852928. Its totient is φ = 22105440.

The previous prime is 72101401. The next prime is 72101459. The reversal of 72101406 is 60410127.

It is a super-2 number, since 2×72101406² = 10397225494353672, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72101401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22441 + ... + 25451.

It is an arithmetic number, because the mean of its divisors is an integer number (4870404).

Almost surely, 2^72101406 is an apocalyptic number.

72101406 is an abundant number, since it is smaller than the sum of its proper divisors (83751522).

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

72101406 is a wasteful number, since it uses less digits than its factorization.

72101406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3336.

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 72101406 is about 8491.2546776080. The cubic root of 72101406 is about 416.2119813052.

The spelling of 72101406 in words is "seventy-two million, one hundred one thousand, four hundred six".