72142575 has 48 divisors (see below), whose sum is σ = 126554400. Its totient is φ = 36198400.

The previous prime is 72142573. The next prime is 72142579. The reversal of 72142575 is 57524127.

It is not a de Polignac number, because 72142575 - 2¹ = 72142573 is a prime.

It is a super-2 number, since 2×72142575² = 10409102255261250, which contains 22 as substring.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72142571) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88771 + ... + 89579.

It is an arithmetic number, because the mean of its divisors is an integer number (2636550).

Almost surely, 2^72142575 is an apocalyptic number.

72142575 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

72142575 is a deficient number, since it is larger than the sum of its proper divisors (54411825).

72142575 is a wasteful number, since it uses less digits than its factorization.

72142575 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 892 (or 887 counting only the distinct ones).

The product of its digits is 19600, while the sum is 33.

The square root of 72142575 is about 8493.6785317082. The cubic root of 72142575 is about 416.2911835092.

The spelling of 72142575 in words is "seventy-two million, one hundred forty-two thousand, five hundred seventy-five".