72148392 has 24 divisors (see below), whose sum is σ = 195402090. Its totient is φ = 24049440.

The previous prime is 72148387. The next prime is 72148393. The reversal of 72148392 is 29384127.

It can be written as a sum of positive squares in only one way, i.e., 62821476 + 9326916 = 7926^2 + 3054^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

It is not an unprimeable number, because it can be changed into a prime (72148393) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 500959 + ... + 501102.

Almost surely, 2^72148392 is an apocalyptic number.

72148392 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

72148392 is an abundant number, since it is smaller than the sum of its proper divisors (123253698).

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

72148392 is a wasteful number, since it uses less digits than its factorization.

72148392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1002073 (or 1002066 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 72148392 is about 8494.0209559431. The cubic root of 72148392 is about 416.3023720052.

The spelling of 72148392 in words is "seventy-two million, one hundred forty-eight thousand, three hundred ninety-two".