737970772 has 162 divisors, whose sum is σ = 1756411566. Its totient is φ = 270103680.

The previous prime is 737970749. The next prime is 737970803. The reversal of 737970772 is 277079737.

It can be written as a sum of positive squares in 3 ways, for example, as 266472976 + 471497796 = 16324^2 + 21714^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 19945138 + ... + 19945174.

Almost surely, 2^737970772 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 737970772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (878205783).

737970772 is an abundant number, since it is smaller than the sum of its proper divisors (1018440794).

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

737970772 is a wasteful number, since it uses less digits than its factorization.

737970772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 907578, while the sum is 49.

The square root of 737970772 is about 27165.6174603118. The cubic root of 737970772 is about 903.6766356569.

The spelling of 737970772 in words is "seven hundred thirty-seven million, nine hundred seventy thousand, seven hundred seventy-two".