72149625 has 48 divisors (see below), whose sum is σ = 132387840. Its totient is φ = 37792800.

The previous prime is 72149621. The next prime is 72149629. The reversal of 72149625 is 52694127.

72149625 is a `hidden beast` number, since 7 + 21 + 4 + 9 + 625 = 666.

It is an interprime number because it is at equal distance from previous prime (72149621) and next prime (72149629).

It is not a de Polignac number, because 72149625 - 2² = 72149621 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 72149625.

It is not an unprimeable number, because it can be changed into a prime (72149621) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65832 + ... + 66918.

It is an arithmetic number, because the mean of its divisors is an integer number (2758080).

Almost surely, 2^72149625 is an apocalyptic number.

72149625 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

72149625 is a deficient number, since it is larger than the sum of its proper divisors (60238215).

72149625 is a wasteful number, since it uses less digits than its factorization.

72149625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1167 (or 1154 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 72149625 is about 8494.0935360991. The cubic root of 72149625 is about 416.3047434967.

The spelling of 72149625 in words is "seventy-two million, one hundred forty-nine thousand, six hundred twenty-five".