72405957 has 16 divisors (see below), whose sum is σ = 104122368. Its totient is φ = 44491200.

The previous prime is 72405943. The next prime is 72405961. The reversal of 72405957 is 75950427.

It is not a de Polignac number, because 72405957 - 2⁸ = 72405701 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72405917) 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, 44083 + ... + 45695.

It is an arithmetic number, because the mean of its divisors is an integer number (6507648).

Almost surely, 2^72405957 is an apocalyptic number.

It is an amenable number.

72405957 is a deficient number, since it is larger than the sum of its proper divisors (31716411).

72405957 is a wasteful number, since it uses less digits than its factorization.

72405957 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2780.

The product of its (nonzero) digits is 88200, while the sum is 39.

The square root of 72405957 is about 8509.1689958538. The cubic root of 72405957 is about 416.7971743361.

The spelling of 72405957 in words is "seventy-two million, four hundred five thousand, nine hundred fifty-seven".