72762420 has 48 divisors (see below), whose sum is σ = 205769088. Its totient is φ = 19209600.

The previous prime is 72762383. The next prime is 72762451. The reversal of 72762420 is 2426727.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57 + ... + 12063.

It is an arithmetic number, because the mean of its divisors is an integer number (4286856).

Almost surely, 2^72762420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72762420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102884544).

72762420 is an abundant number, since it is smaller than the sum of its proper divisors (133006668).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72762420 is a wasteful number, since it uses less digits than its factorization.

72762420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12120 (or 12118 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 30.

The square root of 72762420 is about 8530.0890968383. The cubic root of 72762420 is about 417.4800353798.

The spelling of 72762420 in words is "seventy-two million, seven hundred sixty-two thousand, four hundred twenty".