72753148 has 36 divisors (see below), whose sum is σ = 138716928. Its totient is φ = 33371520.

The previous prime is 72753127. The next prime is 72753169. The reversal of 72753148 is 84135727.

It is an interprime number because it is at equal distance from previous prime (72753127) and next prime (72753169).

It is a super-3 number, since 3×72753148³ (a number of 25 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

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, 189765 + ... + 190147.

It is an arithmetic number, because the mean of its divisors is an integer number (3853248).

Almost surely, 2^72753148 is an apocalyptic number.

It is an amenable number.

72753148 is a deficient number, since it is larger than the sum of its proper divisors (65963780).

72753148 is a wasteful number, since it uses less digits than its factorization.

72753148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694 (or 679 counting only the distinct ones).

The product of its digits is 47040, while the sum is 37.

The square root of 72753148 is about 8529.5455916479. The cubic root of 72753148 is about 417.4623016865.

The spelling of 72753148 in words is "seventy-two million, seven hundred fifty-three thousand, one hundred forty-eight".