72149148 has 36 divisors (see below), whose sum is σ = 184192008. Its totient is φ = 23810400.

The previous prime is 72149117. The next prime is 72149191. The reversal of 72149148 is 84194127.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6286 + ... + 13557.

Almost surely, 2^72149148 is an apocalyptic number.

It is an amenable number.

72149148 is an abundant number, since it is smaller than the sum of its proper divisors (112042860).

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

72149148 is a wasteful number, since it uses less digits than its factorization.

72149148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19954 (or 19949 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 72149148 is about 8494.0654577181. The cubic root of 72149148 is about 416.3038260616.

The spelling of 72149148 in words is "seventy-two million, one hundred forty-nine thousand, one hundred forty-eight".