72149751 has 16 divisors (see below), whose sum is σ = 113176800. Its totient is φ = 45270144.

The previous prime is 72149731. The next prime is 72149761. The reversal of 72149751 is 15794127.

It is a happy number.

It is not a de Polignac number, because 72149751 - 2¹¹ = 72147703 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72149711) 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, 78136 + ... + 79053.

It is an arithmetic number, because the mean of its divisors is an integer number (7073550).

Almost surely, 2^72149751 is an apocalyptic number.

72149751 is a deficient number, since it is larger than the sum of its proper divisors (41027049).

72149751 is a wasteful number, since it uses less digits than its factorization.

72149751 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157215 (or 157209 counting only the distinct ones).

The product of its digits is 17640, while the sum is 36.

The square root of 72149751 is about 8494.1009530144. The cubic root of 72149751 is about 416.3049858374.

It can be divided in two parts, 72149 and 751, that added together give a square (72900 = 270²).

The spelling of 72149751 in words is "seventy-two million, one hundred forty-nine thousand, seven hundred fifty-one".