72427537 has 32 divisors (see below), whose sum is σ = 93632000. Its totient is φ = 55629504.

The previous prime is 72427519. The next prime is 72427547. The reversal of 72427537 is 73572427.

It is not a de Polignac number, because 72427537 - 2⁷ = 72427409 is a prime.

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

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a junction number, because it is equal to n+sod(n) for n = 72427496 and 72427505.

It is not an unprimeable number, because it can be changed into a prime (72427547) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 164764 + ... + 165202.

It is an arithmetic number, because the mean of its divisors is an integer number (2926000).

Almost surely, 2^72427537 is an apocalyptic number.

It is an amenable number.

72427537 is a deficient number, since it is larger than the sum of its proper divisors (21204463).

72427537 is a wasteful number, since it uses less digits than its factorization.

72427537 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 496 counting only the distinct ones).

The product of its digits is 82320, while the sum is 37.

The square root of 72427537 is about 8510.4369453043. The cubic root of 72427537 is about 416.8385778797.

The spelling of 72427537 in words is "seventy-two million, four hundred twenty-seven thousand, five hundred thirty-seven".